Actually, on average, no! You could imagine losing by 5 goals for 4 games (-20 differential) and then winning by 1 goal for 6 games (+6 differential). On average you are -14 diff, but a winning record.

As a counter example, consider the Raiders (NFL) last preseason game and first 6 regular season games from this past season. Their scoring differential was +20, but their record was 3-4. I'm sure there are more extreme real life examples when you can have a highly positive (or negative) scoring differential, along with a counterintuitive record.

FWIW, the Canes and the Kings are actually overperforming (they are winning more games than you would expect, given their scoring differential), so far this season.